Rigorous analysis of magnetostrictive constitutive models (Conference Presentation)

By providing a fast and accurate constitutive model suitable for use in finite element analysis, a key barrier inhibiting the development of magnetostrictive technologies will be lowered. A magnetostrictive constitutive model must calculate the nonlinear magnetization and magnetostriction of a material in response to magnetic and mechanical loads. This presentation will analyze the accuracy and computational complexity of three different integration methods performing these calculations: Riemann sums, Clenshaw-Curtis (CCQ) quadrature, and Laplace’s Method. We will show how using Laplace’s method provides an accurate and computationally efficient calculation of nonlinear magnetization, magnetostriction, and material properties for use in a FEA program.